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Finding the Fourth Proportional to 613.77, 920.25 and 510.63

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Solution

The fourth proportional to 613.77, 920.25 and 510.63 is: 765.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.77 : 920.25 = 510.63 : x
  2. Step 2: Convert to fraction form
    613.77/920.25 = 510.63/x
  3. Step 3: Cross multiply
    613.77x = 920.25 × 510.63
  4. Step 4: Simplify right side
    613.77x = 469,907.26
  5. Step 5: Solve for x
    x = 469,907.26/613.77
  6. Step 6: Final answer
    x = 765.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.